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Finding the Fourth Proportional to 59,284.84, 81,815.70 and 34,142.44

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Solution

The fourth proportional to 59,284.84, 81,815.70 and 34,142.44 is: 47,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,284.84 : 81,815.70 = 34,142.44 : x
  2. Step 2: Convert to fraction form
    59,284.84/81,815.70 = 34,142.44/x
  3. Step 3: Cross multiply
    59,284.84x = 81,815.70 × 34,142.44
  4. Step 4: Simplify right side
    59,284.84x = 2,793,387,628.31
  5. Step 5: Solve for x
    x = 2,793,387,628.31/59,284.84
  6. Step 6: Final answer
    x = 47,118.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.